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Finding the Third Proportional to 1,098.84 and 2,056.78

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Solution

The third proportional to 1,098.84 and 2,056.78 is: 3,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.84 : 2,056.78 = 2,056.78 : x
  2. Step 2: Convert to fraction form
    1,098.84/2,056.78 = 2,056.78/x
  3. Step 3: Cross multiply
    1,098.84x = 2,056.78 × 2,056.78
  4. Step 4: Simplify right side
    1,098.84x = 4,230,349.11
  5. Step 5: Solve for x
    x = 4,230,349.11/1,098.84
  6. Step 6: Final answer
    x = 3,849.82

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.